INTERNAL SPUR GEARS - DeterminingDimensions Under Pins
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90 Bissel Street Joliet, IL 60432 phone 800.876.7216 fax 815.723.9207 1 [email protected] ● Monday-Friday 7a-4.30p ● Saturday 7a-12p INTERNAL SPUR GEARS - DeterminingDimensions Under Pin s TO GET HAVING RULE FORMULA N Number of teeth Given 12 DP Diametral pitch Given 24 α Pressure angle Given 14.5 s Arc space width Given 0.06800 d Pin diameter Given 0.06701 PD Pitch diameter N/DP 0.50000 BD Base diameter PD•COS(α) 0.48407 A s/PD 0.13600 D d/BD 0.13843 INV α Involute function of α TAN(α)-[ α(π/180)] 0.00554 INVβ Involute function of β A+INV α-D 0.00312 β Pressure angle to pin center see tables page (G14) 11.00809 CC Twice the center distance of pin and gear BD/COS(β) 0.49488 DE Dimension under pins even # of teeth CC-d 0.42787 DO Dimension under pins odd # of teeth CC•COS(90/N)-d ************** * Φ Pressure angle to point of tangency TAN(Φ)=TAN(β)+D 19.33857 RT Radius to point of tangency BD/[2•COS(Φ)] 0.25651
Transcript of INTERNAL SPUR GEARS - DeterminingDimensions Under Pins
90 Bissel Street
Joliet, IL 60432
phone 800.876.7216
fax 815.723.9207
1
[email protected] ● Monday-Friday 7a-4.30p ● Saturday 7a-12p
INTERNAL SPUR GEARS - DeterminingDimensions Under Pins
TO GET HAVING RULE FORMULA N Number of teeth Given 12 DP Diametral pitch Given 24 α Pressure angle Given 14.5 s Arc space width Given 0.06800 d Pin diameter Given 0.06701 PD Pitch diameter N/DP 0.50000 BD Base diameter PD•COS(α) 0.48407 A
s/PD 0.13600
D
d/BD 0.13843 INV α Involute function of α TAN(α)-[ α(π/180)] 0.00554 INVβ Involute function of β A+INV α-D 0.00312
β Pressure angle to pin center see tables page (G14) 11.00809
CC Twice the center distance of pin and gear BD/COS(β) 0.49488 DE Dimension under pins even # of teeth CC-d 0.42787
DO Dimension under pins odd # of teeth CC•COS(90/N)-d ***************
Φ Pressure angle to point of tangency TAN(Φ)=TAN(β)+D 19.33857 RT Radius to point of tangency BD/[2•COS(Φ)] 0.25651
90 Bissel Street
Joliet, IL 60432
phone 800.876.7216
fax 815.723.9207
2
[email protected] ● Monday-Friday 7a-4.30p ● Saturday 7a-12p
INTERNAL SPUR GEARS - Determining Arc Space Width Given Dimensions Under Pins
TO GET HAVING RULE FORMULA N Number of teeth Given 44 DP Diametral pitch Given 24 α Pressure angle Given 14.5 d Pin diameter Given 0.06701 DE Dimension under pins even # of teeth Given 1.76152 DO Dimension under pins odd # of teeth Given ********** PD Pitch diameter N/DP 1.83333 BD Base diameter PD•COS(α) 1.77494
CE Twice the center distance of pin and gear even # of teeth DE+d 1.82853
CO Twice the center distance of pin and gear odd # of teeth (DO+d)/COS(90/N) **********
β Pressure angle to pin center COS(β)=BD/CE or CO 13.90611 INVβ Involute function of β TAN(β)-[ β(π/180)] 0.00488 D
d/BD 0.03775
INV α Involute function of α TAN(α)-[ α(π/180)] 0.00554 s Arc space width PD(INV β+D-INV α) 0.06800
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